期刊
PHYSICS LETTERS A
卷 372, 期 35, 页码 5644-5650出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2008.07.013
关键词
integrability; WTC test; Gross-Pitaevskii equation; Bose-Einstein condensate; Feshbach resonance; nonautonomous soliton
资金
- National Natural Science Foundation [10205007]
In this Letter we study the integrability of a class of Gross-Pitaevskii equations managed by Feshbach resonance in an expulsive parabolic external potential. By using WTC test, we find a condition under which the Gross-Pitaevskii equation is completely integrable. Under the present model, this integrability condition is completely consistent with that proposed by Serkin, Hasegawa, and Belyaeva [V.N. Serkin, A. Hasegawa, T.L Belyaeva, Phys. Rev. Lett. 98 (2007) 074102]. Furthermore, this integrability can also be explicitly shown by a transformation, which can convert the Gross-Pitaevskii equation into the well-known standard nonlinear Schrodinger equation. By this transformation, each exact solution of the standard nonlinear Schrodinger equation can be converted into that of the Gross-Pitaevskii equation, which builds a systematical connection between the canonical solitons and the so-called nonautonomous ones. The finding of this transformation has a significant contribution to understanding the essential properties of the nonautonomous solitons and the dynamics of the Bose-Einstein condensates by using the Feshbach resonance technique. (C) 2008 Elsevier B.V. All rights reserved.
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